# aboulafia

Published articles for aboulafia.

This is one page of public article previews, not the complete archive. Follow Next page to continue. Summaries are not the original full articles.

## The Aboulafia Graph Has Dihedral Symmetry

DevFeed: [The Aboulafia Graph Has Dihedral Symmetry](<https://devfeed.tech/articles/a-wheel-the-same-forwards-and-backwards-37562.md>)

Original publisher: [Read original article](<https://blog.klipse.tech/aboulafia/2026/07/06/a-wheel-the-same-forwards-and-backwards.html>)

Author: Yehonathan Sharvit

Published: 2026-07-06T10:00:00Z

Content type: article

Language: en

Sources: [Klipse](<https://devfeed.tech/sources/klipse.md>)

Topics: [Graphs](<https://devfeed.tech/topics/graphs.md>)

Tags: [aboulafia](<https://devfeed.tech/tags/aboulafia.md>), [graph](<https://devfeed.tech/tags/graph.md>), [math](<https://devfeed.tech/tags/math.md>), [mirror](<https://devfeed.tech/tags/mirror.md>), [rotation](<https://devfeed.tech/tags/rotation.md>), [series](<https://devfeed.tech/tags/series.md>), [symmetry](<https://devfeed.tech/tags/symmetry.md>)

### AI overview

The final article in a four-part series explains the dihedral symmetry of the Aboulafia graph. It connects the graph's recursive construction to a rotation and a reflection, and describes a proof that these are its only symmetries.

### Source excerpt

Aboulafia's Tserouf - Part 4 of 4 <- Previous: Too big to draw, but yet drawable

## Too big to draw, but yet drawable

DevFeed: [Too big to draw, but yet drawable](<https://devfeed.tech/articles/too-big-to-draw-but-yet-drawable-37564.md>)

Original publisher: [Read original article](<https://blog.klipse.tech/aboulafia/2026/07/06/too-big-to-draw-but-yet-drawable.html>)

Author: Yehonathan Sharvit

Published: 2026-07-06T09:00:00Z

Content type: article

Language: en

Sources: [Klipse](<https://devfeed.tech/sources/klipse.md>)

Topics: [ordering](<https://devfeed.tech/topics/ordering.md>), [structure](<https://devfeed.tech/topics/structure.md>)

Tags: [aboulafia](<https://devfeed.tech/tags/aboulafia.md>), [caustics](<https://devfeed.tech/tags/caustics.md>), [generative](<https://devfeed.tech/tags/generative.md>), [math](<https://devfeed.tech/tags/math.md>), [permutation](<https://devfeed.tech/tags/permutation.md>), [permutations](<https://devfeed.tech/tags/permutations.md>), [random](<https://devfeed.tech/tags/random.md>), [ranking](<https://devfeed.tech/tags/ranking.md>), [recursion](<https://devfeed.tech/tags/recursion.md>), [visualization](<https://devfeed.tech/tags/visualization.md>)

### AI overview

The third article in a series explains how Aboulafia's tserouf orders all permutations of a word and visualizes them by placing the permutations around a circle and connecting each word to its reversal. Because the full permutation space becomes too large to draw, the article samples chords and shows that they form recurring caustic curves visible at multiple scales.

### Source excerpt

Aboulafia's Tserouf - Part 3 of 4 <- Previous: An elegant formulation, inspired by Bill Gates - Next: A wheel, the same forwards and backwards ->

## Zaks's suffix-reversal algorithm for generating permutations

DevFeed: [Zaks's suffix-reversal algorithm for generating permutations](<https://devfeed.tech/articles/an-elegant-formulation-inspired-by-the-one-and-only-paper-bill-gates-ever-wrote-37563.md>)

Original publisher: [Read original article](<https://blog.klipse.tech/aboulafia/2026/07/06/an-elegant-formulation-inspired-by-bill-gates.html>)

Author: Yehonathan Sharvit

Published: 2026-07-06T08:00:00Z

Content type: article

Language: en

Sources: [Klipse](<https://devfeed.tech/sources/klipse.md>)

Topics: [Algorithm](<https://devfeed.tech/topics/algorithm.md>), [Sorting](<https://devfeed.tech/topics/sorting.md>), [ordering](<https://devfeed.tech/topics/ordering.md>)

Tags: [aboulafia](<https://devfeed.tech/tags/aboulafia.md>), [algorithm](<https://devfeed.tech/tags/algorithm.md>), [math](<https://devfeed.tech/tags/math.md>), [permutations](<https://devfeed.tech/tags/permutations.md>), [reversing](<https://devfeed.tech/tags/reversing.md>), [sequence](<https://devfeed.tech/tags/sequence.md>), [sorting](<https://devfeed.tech/tags/sorting.md>)

### AI overview

This second article in a series connects Aboulafia's recursive Tserouf permutation algorithm with Shimon Zaks's 1984 algorithm. It explains how Zaks generates permutations by repeatedly reversing suffixes and describes the recursive sequence of suffix lengths behind the ordering.

### Source excerpt

Aboulafia's Tserouf - Part 2 of 4 <- Previous: An algorithm ignored for 700 years - Next: Too big to draw, but yet drawable ->

## A 13th-Century Enumeration Algorithm, Ignored for 700 Years

DevFeed: [A 13th-Century Enumeration Algorithm, Ignored for 700 Years](<https://devfeed.tech/articles/a-13th-century-enumeration-algorithm-ignored-for-700-years-37561.md>)

Original publisher: [Read original article](<https://blog.klipse.tech/aboulafia/2026/07/06/a-13th-century-enumeration-algorithm-ignored-for-700-years.html>)

Author: Yehonathan Sharvit

Published: 2026-07-06T07:00:00Z

Content type: article

Language: en

Sources: [Klipse](<https://devfeed.tech/sources/klipse.md>)

Topics: [Algorithm](<https://devfeed.tech/topics/algorithm.md>), [ordering](<https://devfeed.tech/topics/ordering.md>), [structure](<https://devfeed.tech/topics/structure.md>)

Tags: [aboulafia](<https://devfeed.tech/tags/aboulafia.md>), [algorithm](<https://devfeed.tech/tags/algorithm.md>), [kabbalah](<https://devfeed.tech/tags/kabbalah.md>), [math](<https://devfeed.tech/tags/math.md>), [order](<https://devfeed.tech/tags/order.md>), [ordering](<https://devfeed.tech/tags/ordering.md>), [permutations](<https://devfeed.tech/tags/permutations.md>)

### AI overview

The article examines a systematic method for enumerating permutations described by the 13th-century Kabbalist Abraham Aboulafia in his account of Tserouf. It explains rules for ordering three-letter permutations and a rotation-based method for extending the ordering to longer words.

### Source excerpt

Aboulafia's Tserouf - Part 1 of 4 Next: An elegant formulation, inspired by Bill Gates ->